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405q6 - that you use 2 Write out as an equation what it...

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MATH 405: Quiz 6 Name: October 30, 2006 1. Write out the general solution (in terms of functions discussed in the text or in class) to the following equation for f ( x ): x 2 f 00 + xf 0 + ( x 2 - 3) f = 0 You do not need to derive this solution, but discuss or explain what each function is
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Unformatted text preview: that you use. 2. Write out as an equation what it means for the Legendre polynomials P n (cos θ ) with n = 0 , 1 , 2 , ... , to form an orthogonal set of functions on the interval [0 , π ] with weighting function R = sin θ ....
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